Coming soon – “Model with Mathematics: A primer on mathematical modeling for secondary mathematics teachers and teacher-educators.”
In the meantime, you might enjoy some of our previous work, although please note these are aimed at the undergraduate/graduate mathematics, engineering, or science students.
Designing small structures necessitates an understanding of various device behaviors. The way to gain that understanding is to build, analyze, and interpret the proper mathematical models. Through such models, this book illuminates microscale and nanoscale phenomena, and thereby facilitates the design and optimization of micro- and nanoscale devices. Each chapter focuses on a set of devices that share a common feature. The authors abstract that feature and present the mathematical tools needed to model it. This treatment not only provides the background and tools needed to design and optimize microdevices but also helps develop the intuitive understanding that can lead to developing new and better designs and devices.
A self-contained, up-to-date, and interdisciplinary introduction to the emerging science of self-assembly, this definitive book explores nature’s self-assembly of structures, the use of it to build engineered systems, and the latest advances in the field. It features profiles of leading self-assembly researchers and includes instructions for simple, hands-on activities to be performed in the lab or classroom. With exercises at the end of each chapter, the book illustrates key concepts, patterns, and structures with more than 150 figures, including 14 in full color.